D) the x intercept as you let each bracket equal to 0 to find the x coordinate
Answer:
option-B
Step-by-step explanation:
We are given function as

we know that
Any function touches or crosses x-axis when y-value is 0
so, we can set f(x)=0
and then we can solve for x

now, we can factor it


we get


It means that function touches x-axis at x=0





So, function crosses x-axis at x=5 and x=-2
so,
option-B
We know that
As the midpoint is a point on the perpendicular line, we can solve by eliminating the other equations, like this:
a) Check if the point (-1,-2) is on the line y=-4x-4:
for x=-1
y=-4*(-1)-4--------> y=0
0 is not -2--------> that is not the equation
b) Check if the point (-1,-2) is on the line y = −4x − 6:
for x=-1
y=-4*(-1)-6--------> y=-2
-2 is equal to -2--------> that is the equation
c) Check if the point (-1,-2) is on the line y = x – 4
for x=-1
y=-(-1)-4--------> y=-5
-5 is not -2--------> that is not the equation
d) Check if the point (-1,-2) is on the line y = x – 6
for x=-1
y=-(-1)-6--------> y=-7
-7 is not -2--------> that is not the equation
therefore
the answer is
y = −4x − 6:
Answer:
2 Paul's Survey sample only included tenth graders
Step-by-step explanation:
The reson why this is your answer is simple
Because this is true, he ONLY surveyed tenth-graders. He should have found for all of the students, including the other 1,100 students that didn't get surveyed.
Thanks!
Answer:
<u>Option D: y = 4x + 16</u>
Step-by-step explanation:
Given the line: y - 1 = 4(x + 3) ⇒ y = 4x + 13
The slope of the given line = m = 4
The required line is parallel to the given line
So, the slope of the required line = m = 4
So, the general equation of the required line: y = 4x + c
Where c is constant represents y-intercept
To find the value of c, substitute with the point (4,32)
At x = 4 y = 32
∴ 32 = 4 * 4 + c
∴ c = 32 - 16 = 16
∴ y = 4x + 16
The answer is option <u>D: y = 4x + 16</u>